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# Probability

### Probability that a technician is required

An installation technician for a specialized communication system is dispatched to a city only when three or more orders have been placed. Suppose orders follow a Poisson distribution with a mean of 0.25 per week for a city with a population of 100,000 and suppose your city contains a population of 800,000. a) What is the pr

### Poisson random variable..

The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of 5 messages per hour. a) What is the probability that 5 messages are received in 1 hour? b) What is the probability that 10 messages are received in 1.5 hours? c) What is the probability that fewer than 2 messages are rec

### Video game probability questions

For problem choose what type of problem it is and solve using the binomial, geometric, or Poisson distribution. A player of a video game is confronted with a series of opponents and has an 80% probability of defeating each one. Success with any opponent is independent of previous encounters. The player continues to confron

### the probability that the light is green

For problem choose what type of problem it is and solve using the binomial, geometric, or Poisson distribution. A particularly long traffic light on your morning commute is green 20% of the time that you approach it. Assume that each morning represents an independent trial. a) Over five mornings, what is the probability

### Calculations of Probability: Assuming Poisson Distribution

A particular database gets hacker attempts at an average rate of 2.6 per month. Assume a Poisson distribution. 1. What is the probability of at least three hacker attempts during a month? 2. What is the probability of a hacker attempt occurring every 15 days or less (assume a 30 day month).

### Probability calculation for binomial distribution ..

An airline estimates that 98% of people booked on their flights actually show up. If the airline books 76 people on a flight for which the maximum number is 74, what is the probability that the number of people who show up will exceed the capacity on the plane? Can you please help me with this?? take through step by step,,

### Multiplication Rule and Independent Events

I really need you to show me how you get to the correct answer. Okay here goes: A statistics professor gives a surprise quiz consisting of 14 true/false questions and states that passing requires 9 correct responses. If the student guesses find the probability that the first 9 responses are correct and the last 5 responses

### Customer Arrival Average Rate

Customers arrive to the company at a rate, on average, of one per hour with a Poisson distribution. The company is staffed by a single individual(the owner) who takes on average 30 minutes with each customer with a standard deviation of 15 minutes. a. The owner would like the average wait time to be at most around 10 minutes

### Data Gathering Techniques, Frequency etc.

Final Project The Final Project is due no later than the end of Unit 9. These are the Final Project questions: Problem 1) A book inventory record contains the following information: a) Title: More Mysteries b) Author: Roger Mortimer c) Date of publication: 1998 d) List price: \$25.00 e) Number in s

### Probability ...

The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of inde

### Continuous random variable generated

Question 2 Let X be a continuous random variable with the pdf f(x) = 42x5(1-x) 0<x<1 and let Y=X3. Suppose u=.145 is a random number generated from the uniform (0,1). Determine the corresponding random number from the distribution Y. This will involve solving a nonlinear equation by using Newton's Method. Question 3 Let F b

### Binomial Distribution

The probability that an individual is left-handed is 0.1. In a class of 30 students, what is the probability of finding at least five left-handers? Construct a binomial distribution. Find the mean, variance and standard deviation of the distribution.

### Normal curves and sampling distribution

Novels : Romance USA Today reported that 11% of all books sold are of the romance genre. If a local bookstore sells 316 books on a given day,what is the probability that a) fewer that 40 are romances? b) at least 25 are romances? c) between 25 and 40 are romances? d) in the solution to this problem. what is n,p, q ? Does it

### Probability Find the indicated probabilities. a. P (z > -0.89) b. P (0.45 < z < 2.15) Write the binomial probability as a normal probability using the continuity correction. Binomial Probability Normal Probability c. P ( x &#8804; 56) P ( x < ? ) d. P ( x = 69 ) P ( ? < x < ?

Find the indicated probabilities. a. P (z > -0.89) b. P (0.45 < z < 2.15) Write the binomial probability as a normal probability using the continuity correction. Binomial Probability Normal Probability c. P ( x &#8804; 56) P ( x < ? ) d. P ( x = 69 ) P ( ? < x < ?

### Binomial Distribution Problem

The probability that an individual is left-handed is 0.1. In a class of 30 students, what is the probability of finding at least five left-handers? Construct a binomial distribution. Find the mean, variance and standard deviation of the distribution.

### Binomial Distribution

57% of families say that their children have an influence on their vacation destinations. Consider a random sample of six families who are asked if their children have an influence on their vacation destination. Construct a binomial distribution. Find the mean, variance and standard deviation of the distribution.

### Probability of Machine being Tuned and Serviced

Question 1: A sensitive machine is tuned correctly for 95% of the time. If the machine is correctly tuned, the probability of spoil product is 1% if not is 40%. The first product of a test run is inspected and found to be satisfactory. What is the probability that the machine had been correctly tuned? Question 2 The s

### Sample Distribution

1. An economist wishes to estimate the average family income in a certain population. The population standard deviation is known to be \$4,500, and the economist uses a random sample of size = 225. a. What is the probability that the sample mean will fall within \$800 of the population mean? b. What is the probability that the

### Probability ...

The probability is 1 in 4,000,000 that a single auto trip in the U.S. will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) what is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence

### Uniform Distribution

I cannot prove the solution given for the following Conditional Joint Uniform Distribution. I have a fairly detailed answer provided by my professor, but I cannot do the Integration to prove. Could you please provide a detailed step by step integration to backup the given answer. I am sure I am missing a basic either Uniform

### Binominal Distribution: Probability

In a certain binomial distribution, &#960; = 0.20 and n = 30. In using the normal approximation, a. What are the mean and standard deviation of the corresponding normal distribution? b. If x = the number of "success" among the 30 observation, determine the following: P(x = 5), P(4 &#8804; x &#8804; 7), P(1 &#8804; x &#8804;

### Probability: Take the Order or Not?

My youngest brother used to own a cafe in Calgary and I visited him frequently for free meals. One day, Indiana Jones rushed in and wanted to order two dozen roasted chickens. But there was a catch. He insisted that all the chickens should be heavier than 5.5 lbs, or else my brother would face very serious consequences.

### Normal distribution A software company finds that the average number of errors in its software per 1000 lines of code is 4 with standard deviation equal to 0.5. Use the 68-95-99.7 rule to calculate the following values: a)Almost all (99.7%) 1000 lines of code contain a number of errors that varies in what range of values? b)The percentage of samples of 1000 lines of code that contain between 3 and 5 errors. c)The percentage of samples of 1000 lines of code that contain less than 2.5 errors. d)The 2.5th percentile of the distribution of the number of errors per 1000 lines of code.

A software company finds that the average number of errors in its software per 1000 lines of code is 4 with standard deviation equal to 0.5. Use the 68-95-99.7 rule to calculate the following values: a)Almost all (99.7%) 1000 lines of code contain a number of errors that varies in what range of values? b)The percentage of

### Binomial process and probabilities

It has been estimated that 17.0% of mutual fund shareholder are retired persons. Assuming the population proportion to be &#960; = 0.17 and that a simple random sample of 400 shareholders ha been selected: a. What is the expected value of p = the proportion of those in the sample who are retired? b. What is the standard error

### Probability of standard normal table

Using the standard normal table, find the following probabilities associated with z: a. P(0.00 ≤ z ≤ 1.25) b. P(-1.25 ≤ z ≤ 0.00) c. P(-1.25 ≤ z ≤ 1.25) Using the standard normal table, find the following probabilities associated with z: a. P (-0.36 ≤ z ≤ 0.00) b. P(z ≤ -0.36) c. P(z ≥ -0.43)

### The Probability of Overbooking Flights

Please help with the following problem involving statistics and probability. Air America is considering a new policy of booking as many as 400 persons on a airplane that can seat only 350. (Past studies have revealed that only 85% of the booked passengers actually arrive for the flight.) Estimate the probability that if Ai

### BrainMass Expert's Approach to: Statistics - All Topics

A contractor must pay a \$40,000 penalty if construction of an expensive home requires more than 16 weeks. He will receive a bonus of \$10,000.00 if the home is completed within 8 weeks. Based on experience with the type of project, the contractor feels there is a 0.2 chance the home will require more than 16 weeks for completion,

### Probability: City Law-Enforcement Official

1. A city law-enforcement official has stated that 20% of the items sold by pawn shops within the city have been stolen. Ralph has just purchased 4 items from on of the city's pawn shops. Assuming that the official is correct, and for x = the number of Ralph's purchases that have been stolen, determine the following: a. P(x

### Discrete Distributions: Probability That IRS Abuses Its Power

According to CNN/USA Today poll approximately 70% of Americans believe the IRS abuses its power. Let X equal the number of people who believe the IRS abuses its power in a sample of n=25 Americans. Assuming that the poll results are still valid , find the probability that: a) X is at least 13 b) X is at most 11 c) x is equa

### Probability and Description of Variables

Please answer the following questions in an organized manner and include an explanation of how the answer was obtained. Please include them in a Excel or Word doc. 1. Which of the following variables are best thought of as continuous. 2. According to records, the amount of precipitation in a certain city on a November day.